The invention relates to a vehicle speed limiting apparatus and a vehicle speed control apparatus so as to reduce likelihood that the vehicle may not be accelerated as intended by the driver during lane changing processes. A vehicle speed limiting apparatus includes an upper-limit setting unit used for setting an upper-limit speed of the vehicle and a vehicle speed control unit used for controlling the traveling speed so as not to exceed the upper-limit speed even when the opening of the accelerator pedal becomes great enough to make the traveling speed exceed the upper-limit speed. When the estimation unit estimates that the vehicle starts the lane change, the vehicle speed control unit permits the traveling speed to exceed the upper-limit speed, and controls the traveling speed so as not to exceed the permissible speed which is higher than the upper-limit speed.